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    New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices

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    Authors
    Gildea, J.
    Kaya, A.
    Taylor, R.; orcid: 0000-0002-8563-2212
    Tylyshchak, A.; orcid: 0000-0001-7828-3416
    Yildiz, B.; orcid: 0000-0001-8106-3123
    Publication Date
    2021-08-20
    
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    Abstract
    In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F 2 and F 2 + u F 2 . Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.
    Citation
    Discrete Mathematics, volume 344, issue 11, page 112590
    Publisher
    Elsevier
    URI
    http://hdl.handle.net/10034/625660
    Type
    article
    Description
    From Elsevier via Jisc Publications Router
    History: accepted 2021-08-05, epub 2021-08-20, issued 2021-11-30
    Article version: AM
    Publication status: Published
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